J
2021
Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions
SMETANOVÁ, Dana and Abdukomil RISBEKOVICH KHASHIMOV
Basic information
Original name
Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions
Authors
SMETANOVÁ, Dana (203 Czech Republic, guarantor, belonging to the institution) and Abdukomil RISBEKOVICH KHASHIMOV
Edition
Axioms, Basel, Switzerland, MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2021, 2075-1680
Other information
Type of outcome
Článek v odborném periodiku
Field of Study
10100 1.1 Mathematics
Country of publisher
Switzerland
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/75081431:_____/21:00002207
Organization unit
Institute of Technology and Business in České Budějovice
Keywords in English
third order equations with multiple characteristic; boundary condition; nonlocal problem; uniqueness theorem; Fredholm integral equation of the second kind; existence theorem
V originále
The article considers third-order equations with multiple characteristics with general boundary value conditions and non-local initial data. A regular solution to the problem with known methods is constructed here. The uniqueness of the solution to the problem is proved by the method of energy integrals. This uses the theory of non-negative quadratic forms. The existence of a solution to the problem is proved by reducing the problem to Fredholm integral equations of the second kind. In this case, the method of Green’s function and potential is used.
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